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Finding the Fourth Proportional to 771.15, 1,064.08 and 435.01

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Solution

The fourth proportional to 771.15, 1,064.08 and 435.01 is: 600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.15 : 1,064.08 = 435.01 : x
  2. Step 2: Convert to fraction form
    771.15/1,064.08 = 435.01/x
  3. Step 3: Cross multiply
    771.15x = 1,064.08 × 435.01
  4. Step 4: Simplify right side
    771.15x = 462,885.44
  5. Step 5: Solve for x
    x = 462,885.44/771.15
  6. Step 6: Final answer
    x = 600.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.